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Finding the Fourth Proportional to 48,964.98, 67,567.86 and 27,747.57

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Solution

The fourth proportional to 48,964.98, 67,567.86 and 27,747.57 is: 38,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,964.98 : 67,567.86 = 27,747.57 : x
  2. Step 2: Convert to fraction form
    48,964.98/67,567.86 = 27,747.57/x
  3. Step 3: Cross multiply
    48,964.98x = 67,567.86 × 27,747.57
  4. Step 4: Simplify right side
    48,964.98x = 1,874,843,925.10
  5. Step 5: Solve for x
    x = 1,874,843,925.10/48,964.98
  6. Step 6: Final answer
    x = 38,289.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.